IXL - DoDEA fourth-grade math standards

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2009 DoDEA Content Standards 2009 DoDEA Content Standards

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4.M1 Numbers and Operations

4.M.1a identify verbally and in writing the place value for each digit in whole numbers up to 1,000,000 and decimals between 0 and 1, up to thousandths;
4.M.1b identify and generate equivalent representations for the same number by decomposing and composing the whole number up to 1,000,000;
4.M.1c judge the size of fractions by using benchmarks, e.g., 0, 1/2, 1; and use the terms greater than, less than, or equal to or appropriate mathematical symbols >, <, or = to compare a fraction to the benchmark;
- Fractions and mixed numbers: Compare fractions (Fourth grade - Q.5)
4.M.1d identify and describe using their own words whole numbers according to their characteristics including primes, composites, and perfect squares;
- Number sense: Prime and composite numbers (Fourth grade - A.5)
4.M.1e use models and symbols to recognize and generate equivalent forms of fractions, mixed numbers, and decimals;
4.M.1f use models to represent division problems as the inverse of multiplication, as partitioning, or as successive subtraction and describe the meaning of remainders;
4.M.1g use models and equivalence to add and subtract fractions with like denominators of 12 or less;
4.M.1h use models to add and subtract decimals through thousandths;
4.M.1i divide two-digit whole numbers by one-digit divisors;
4.M.1j use the inverse relationships of addition and subtraction, and multiplication and division to solve problems and verify solutions;
4.M.1k use estimation to make predictions and check the reasonableness of result;
4.M.1l identify, compare, and order the relative position of fractions and decimals on a number line;
4.M.1m demonstrate mastery in sums to 20 and related subtraction facts and multiplication through 12X12 and related division facts;

4.M2 Algebra

4.M.2a use models and words to describe, extend, and generalize repeating, number, and growing patterns and relationships;
4.M.2b represent and analyze repeating, number, and growing patterns using words, tables, and graphs;
4.M.2c represent and describe mathematical relationships using algebraic expressions, equations, or inequalities with mathematical symbols;
4.M.2d apply order of operations and the commutative and associative properties of addition and multiplication to numeric expressions;
4.M.2e use and interpret variables, mathematical symbols, and properties of addition and multiplication (e.g., commutative, associative, and the distributive property) to write and simplify mathematical expressions and sentences;
- Algebra: Evaluate variable expressions (Fourth grade - G.3)
4.M.2f write and solve algebraic equations or inequalities using variables that represent problem situations;
- Algebra: Write variable equations to represent word problems (Fourth grade - G.5)
- Algebra: Solve variable equations (Fourth grade - G.6)
4.M.2g identify and describe patterns of change to make predictions that identify the relationship represented in a table or graph.
- Functions: Write linear functions (Fourth grade - H.3)
- Functions: Graph linear functions (Fourth grade - H.4)

4.M3 Geometry

4.M.3a identify, draw representations, and describe the relationships between and among points, lines, line segments, and rays using appropriate mathematical tools; e.g., intersecting, parallel, and perpendicular lines;
4.M.3b identify and draw representations of right angles, obtuse angles, and acute angles using appropriate mathematical tools;
- Geometry: Acute, right, obtuse, and straight angles (Fourth grade - P.11)
- Geometry: Measure angles with a protractor (Fourth grade - P.13)
4.M.3c identify and draw congruent figures using appropriate mathematical tools;
- Geometry: Similar and congruent (Fourth grade - P.9)
4.M.3d describe the results of subdividing, combining, and transforming shapes;
- Geometry: Area of complex figures (with all right angles) (Fourth grade - P.19)
- Geometry: Area of compound figures (Fifth grade - B.19)
4.M.3e find the distance between locations of points along horizontal and vertical lines of a coordinate grid;
4.M.3f predict and describe transformations (i.e., translation, reflection, and rotation) to show that two shapes are congruent;
- Geometry: Reflection, rotation, and translation (Third grade - R.6)
- Geometry: Similar and congruent (Fourth grade - P.9)
4.M.3g identify and describe line and rotational symmetry in two-dimensional shapes and designs;
- Geometry: Rotational symmetry (Fourth grade - P.24)
- Geometry: Lines of symmetry (Fourth grade - P.25)
4.M.3h identify geometric solids which could be composed of other solids;
- Geometry: Which 3-dimensional figure is being described? (Fourth grade - P.5)

4.M4 Measurement

4.M.4a recognize and describe that measurements are approximations;
4.M.4b measure with accuracy using both customary and metric systems of measurement;
4.M.4c recognize that the area is the measure of the space enclosed by a two-dimensional figure and that angles are figures made by two rays with the same endpoint;
- Geometry: Area of squares and rectangles (Fourth grade - P.18)
- Geometry: Area of complex figures (with all right angles) (Fourth grade - P.19)
4.M.4d determine the possible dimensions of rectangles when the area is constant;
- Geometry: Rectangles: relationship between perimeter and area (Sixth grade - Z.25)
4.M.4e estimate measurements of perimeter, area, and angle size;
- Geometry: Estimate angle measurements (Sixth grade - Z.4)
4.M.4f use standard tools and units to include measure of perimeter and area of two-dimensional figures;
- Geometry: Perimeter (Fourth grade - P.17)
- Geometry: Area of complex figures (with all right angles) (Fourth grade - P.19)
4.M.4g describe strategies to determine the perimeter and area of right triangles;
- Geometry: Area of triangles (Fifth grade - B.17)
4.M.4h describe strategies for estimating the area of irregular shapes;
- Geometry: Area and perimeter of irregular figures (Fifth grade - B.20)
4.M.4i solve problems involving perimeter and areas of rectangles;
- Geometry: Use area and perimeter to determine cost (Fourth grade - P.23)
4.M.4j know the process for counting coins and bills using standards monetary notations;
- Money: Count coins and bills - up to $5 bill (Third grade - N.1)
- Money: Which picture shows more? (Third grade - N.2)

4.M5 Data Analysis and Probability

4.M.5a describe how data collection methods affect the information that is gathered to address a question;
4.M.5b identify the median of a data set and describe what it indicates about the data set;
- Probability and statistics: Mean, median, mode, and range (Fourth grade - V.3)
- Probability and statistics: Interpret charts to find mean, median, mode, and range (Fourth grade - V.4)
4.M.5c use the median, mode, and range to compare and contrast the characteristics of related data sets;
- Probability and statistics: Mean, median, mode, and range (Fourth grade - V.3)
- Probability and statistics: Interpret charts to find mean, median, mode, and range (Fourth grade - V.4)
4.M.5d select the appropriate data representation form for a diverse set of investigations and justify the choice in each case;
- Data, charts, and graphs: Choose the best type of graph (Fourth grade - J.11)
4.M.5e identify the likelihood of an event occurring as impossible, equally likely, and certain. Recognize the numerical values of 0 (impossible) and 1 (certain);
- Probability and statistics: Make predictions (Fourth grade - V.2)
4.M.5f conduct experiments to determine experimental probability of an event occurring for a given number of trials (no more than 12 trials), using models;
- Probability and statistics: Calculate probability (Fourth grade - V.1)
4.M.5g list and count all possible combinations using one member from each of several sets;
- Probability and statistics: Combinations (Fourth grade - V.5)